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Finding the Fourth Proportional to 3,101.20, 4,658.28 and 2,615.20

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Solution

The fourth proportional to 3,101.20, 4,658.28 and 2,615.20 is: 3,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.20 : 4,658.28 = 2,615.20 : x
  2. Step 2: Convert to fraction form
    3,101.20/4,658.28 = 2,615.20/x
  3. Step 3: Cross multiply
    3,101.20x = 4,658.28 × 2,615.20
  4. Step 4: Simplify right side
    3,101.20x = 12,182,333.86
  5. Step 5: Solve for x
    x = 12,182,333.86/3,101.20
  6. Step 6: Final answer
    x = 3,928.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.